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A Theory of Conditionals

In Nicholas Rescher (ed.), Studies in Logical Theory (American Philosophical Quarterly Monographs 2). Oxford: Blackwell. pp. 98-112 (1968)

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  1. Basic conditional logic.Brian F. Chellas - 1975 - Journal of Philosophical Logic 4 (2):133 - 153.
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  • What we know and what to do.Nate Charlow - 2013 - Synthese 190 (12):2291-2323.
    This paper discusses an important puzzle about the semantics of indicative conditionals and deontic necessity modals (should, ought, etc.): the Miner Puzzle (Parfit, ms; Kolodny and MacFarlane, J Philos 107:115–143, 2010). Rejecting modus ponens for the indicative conditional, as others have proposed, seems to solve a version of the puzzle, but is actually orthogonal to the puzzle itself. In fact, I prove that the puzzle arises for a variety of sophisticated analyses of the truth-conditions of indicative conditionals. A comprehensive solution (...)
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  • Memory, Knowledge, and Epistemic Luck.Changsheng Lai - 2022 - Philosophical Quarterly 72 (4):896-917.
    Does ‘remembering that p’ entail ‘knowing that p’? The widely-accepted epistemic theory of memory answers affirmatively. This paper purports to reveal the tension between ETM and the prevailing anti-luck epistemology. Central to my argument is the fact that we often ‘vaguely remember’ a fact, of which one plausible interpretation is that our true memory-based beliefs formed in this way could easily have been false. Drawing on prominent theories of misremembering in philosophy of psychology, I will construct cases where the subject (...)
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  • Logic and Semantics for Imperatives.Nate Charlow - 2014 - Journal of Philosophical Logic 43 (4):617-664.
    In this paper I will develop a view about the semantics of imperatives, which I term Modal Noncognitivism, on which imperatives might be said to have truth conditions (dispositionally, anyway), but on which it does not make sense to see them as expressing propositions (hence does not make sense to ascribe to them truth or falsity). This view stands against “Cognitivist” accounts of the semantics of imperatives, on which imperatives are claimed to express propositions, which are then enlisted in explanations (...)
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  • Defeasible linear temporal logic.Anasse Chafik, Fahima Cheikh-Alili, Jean-François Condotta & Ivan Varzinczak - 2023 - Journal of Applied Non-Classical Logics 33 (1):1-51.
    After the seminal work of Kraus, Lehmann and Magidor (formally known as the KLM approach) on conditionals and preferential models, many aspects of defeasibility in more complex formalisms have been studied in recent years. Examples of these aspects are the notion of typicality in description logic and defeasible necessity in modal logic. We discuss a new aspect of defeasibility that can be expressed in the case of temporal logic, which is the normality in an execution. In this contribution, we take (...)
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  • Conditional preferences and practical conditionals.Nate Charlow - 2013 - Linguistics and Philosophy 36 (6):463-511.
    I argue that taking the Practical Conditionals Thesis seriously demands a new understanding of the semantics of such conditionals. Practical Conditionals Thesis: A practical conditional [if A][ought] expresses B’s conditional preferability given A Paul Weirich has argued that the conditional utility of a state of affairs B on A is to be identified as the degree to which it is desired under indicative supposition that A. Similarly, exploiting the PCT, I will argue that the proper analysis of indicative practical conditionals (...)
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  • Will done Better: Selection Semantics, Future Credence, and Indeterminacy.Fabrizio Cariani & Paolo Santorio - 2018 - Mind 127 (505):129-165.
    Statements about the future are central in everyday conversation and reasoning. How should we understand their meaning? The received view among philosophers treats will as a tense: in ‘Cynthia will pass her exam’, will shifts the reference time forward. Linguists, however, have produced substantial evidence for the view that will is a modal, on a par with must and would. The different accounts are designed to satisfy different theoretical constraints, apparently pulling in opposite directions. We show that these constraints are (...)
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  • The Single-minded Pursuit of Consistency and its Weakness.Walter Carnielli - 2011 - Studia Logica 97 (1):81 - 100.
    I argue that a compulsive seeking for just one sense of consistency is hazardous to rationality, and that observing the subtle distinctions of reasonableness between individual and groups may suggest wider, structuralistic notions of consistency, even relevant to re-assessing Gödei's Second Incompleteness Theorem and to science as a whole.
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  • Should God believe the Liar? A non-dialetheist paraconsistent approach to God’s Omniscience.Guilherme Araújo Cardoso & Sérgio Ricardo Neves de Miranda - 2021 - Manuscrito 44 (4):518-563.
    In this paper, we discuss a family of arguments that show the inconsistency of the concept of omniscience, which is one of the central attributes of the theistic God. We introduce three member of this family: Grim’s Divine Liar Paradox, Milne’s Paradox and our own Divine Curry. They can be seen as theological counterparts of well-known semantic paradoxes. We argue that the very simple dialetheist response to these paradoxes doesn’t work well and then introduce our own response based on a (...)
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  • Perceptual knowledge and relevant alternatives.J. Adam Carter & Duncan Pritchard - 2016 - Philosophical Studies 173 (4):969-990.
    A very natural view about perceptual knowledge is articulated, one on which perceptual knowledge is closely related to perceptual discrimination, and which fits well with a relevant alternatives account of knowledge. It is shown that this kind of proposal faces a problem, and various options for resolving this difficulty are explored. In light of this discussion, a two-tiered relevant alternatives account of perceptual knowledge is offered which avoids the closure problem. It is further shown how this proposal can: accommodate our (...)
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  • On two arguments for the indeterminacy of personal identity.Helen Morris Cartwright - 1993 - Synthese 95 (2):241-273.
    Both arguments are based on the breakdown of normal criteria of identity in certain science-fictional circumstances. In one case, normal criteria would support the identity of person A with each of two other persons, B and C; and it is argued that, in the imagined circumstances, A=B and A=C have no truth value. In the other, a series or spectrum of cases is tailored to a sorites argument. At one end of the spectrum, persons A and B are such that (...)
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  • Conditional Heresies.Fabrizio Cariani & Simon Goldstein - 2018 - Philosophy and Phenomenological Research (2):251-282.
    Philosophy and Phenomenological Research, EarlyView.
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  • Conditional Collapse.Sam Carter - 2023 - Mind 132 (528):971-1004.
    Indicative and subjunctive conditionals are in non-complimentary distribution: there are conversational contexts at which both are licensed (Stalnaker 1975; Karttunen and Peters 1979; von Fintel 1998). This means we can ask an important, but under-explored, question: in contexts which license both, what relations hold between the two? In this paper, I’ll argue for an initially surprising conclusion: when attention is restricted to the relevant contexts, indicatives and subjunctives are co-entailing. §1 introduces the indicative/subjunctive distinction, along with a discussion of the (...)
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  • A Suppositional Theory of Conditionals.Sam Carter - 2021 - Mind 130 (520):1059–1086.
    Suppositional theories of conditionals take apparent similarities between supposition and conditionals as a starting point, appealing to features of the former to provide an account of the latter. This paper develops a novel form of suppositional theory, one which characterizes the relationship at the level of semantics rather than at the level of speech acts. In the course of doing so, it considers a range of novel data which shed additional light on how conditionals and supposition interact.
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  • Voluntary Imagination: A Fine-Grained Analysis.Ilaria Canavotto, Francesco Berto & Alessandro Giordani - 2020 - Review of Symbolic Logic:1-26.
    We study imagination as reality-oriented mental simulation : the activity of simulating nonactual scenarios in one’s mind, to investigate what would happen if they were realized. Three connected questions concerning ROMS are: What is the logic, if there is one, of such an activity? How can we gain new knowledge via it? What is voluntary in it and what is not? We address them by building a list of core features of imagination as ROMS, drawing on research in cognitive psychology (...)
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  • On an alleged counter-example to causal decision theory.John Cantwell - 2010 - Synthese 173 (2):127-152.
    An alleged counterexample to causal decision theory, put forward by Andy Egan, is studied in some detail. It is argued that Egan rejects the evaluation of causal decision theory on the basis of a description of the decision situation that is different from—indeed inconsistent with—the description on which causal decision theory makes its evaluation. So the example is not a counterexample to causal decision theory. Nevertheless, the example shows that causal decision theory can recommend unratifiable acts which presents a problem (...)
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  • Indicative conditionals:Factual or Epistemic?John Cantwell - 2008 - Studia Logica 88 (1):157-194.
    It is argued that indicative conditionals are best viewed as having truth conditions (and so they are in part factual) but that these truth conditions are ‘gappy’ which leaves an explanatory gap that can only be filled by epistemic considerations (and so indicative conditionals are in part epistemic). This dual nature of indicative conditionals gives reason to rethink the relationship between logic viewed as a descriptive discipline (focusing on semantics) and logic viewed as a discipline with a normative import (focusing (...)
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  • Conditionals in causal decision theory.John Cantwell - 2013 - Synthese 190 (4):661-679.
    This paper explores the possibility that causal decision theory can be formulated in terms of probabilities of conditionals. It is argued that a generalized Stalnaker semantics in combination with an underlying branching time structure not only provides the basis for a plausible account of the semantics of indicative conditionals, but also that the resulting conditionals have properties that make them well-suited as a basis for formulating causal decision theory. Decision theory (at least if we omit the frills) is not an (...)
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  • Choice-Driven Counterfactuals.Ilaria Canavotto & Eric Pacuit - 2021 - Journal of Philosophical Logic 51 (2):297-345.
    In this paper, we investigate the semantics and logic of choice-driven counterfactuals, that is, of counterfactuals whose evaluation relies on auxiliary premises about how agents are expected to act, i.e., about their default choice behavior. To do this, we merge one of the most prominent logics of agency in the philosophical literature, namely stit logic, with the well-known logic of counterfactuals due to Stalnaker and Lewis. A key component of our semantics for counterfactuals is to distinguish between deviant and non-deviant (...)
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  • Keith Lehrer on Compatibilism.Joe Campbell & Keith Lehrer - 2018 - The Journal of Ethics 22 (2):225-233.
    Keith Lehrer has been publishing on free will and compatiblism since 1960. Our concern here is to present an account of the development on his work on the subject.
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  • Benardete’s paradox and the logic of counterfactuals.Michael Caie - 2018 - Analysis 78 (1):22-34.
    I consider a puzzling case presented by Jose Benardete, and by appeal to this case develop a paradox involving counterfactual conditionals. I then show that this paradox may be leveraged to argue for certain non-obvious claims concerning the logic of counterfactuals.
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  • Bell’s Theorem: What It Takes.Jeremy Butterfield - 1992 - British Journal for the Philosophy of Science 43 (1):41-83.
    I compare deterministic and stochastic hidden variable models of the Bell experiment, exphasising philosophical distinctions between the various ways of combining conditionals and probabilities. I make four main claims. (1) Under natural assumptions, locality as it occurs in these models is equivalent to causal independence, as analysed (in the spirit of Lewis) in terms of probabilities and conditionals. (2) Stochastic models are indeed more general than deterministic ones. (3) For factorizable stochastic models, relativity's lack of superluminal causation does not favour (...)
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  • An incompatible pair of subjunctive conditional modal axioms.David Butcher - 1983 - Philosophical Studies 44 (1):71 - 110.
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  • Interpreting enthymematic arguments using belief revision.Georg Brun & Hans Rott - 2013 - Synthese 190 (18):4041-4063.
    This paper is about the situation in which an author (writer or speaker) presents a deductively invalid argument, but the addressee aims at a charitable interpretation and has reason to assume that the author intends to present a valid argument. How can he go about interpreting the author’s reasoning as enthymematically valid? We suggest replacing the usual find-the-missing-premise approaches by an approach based on systematic efforts to ascribe a belief state to the author against the background of which the argument (...)
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  • Counterfactuals and context.Berit Brogaard & Joe Salerno - 2008 - Analysis 68 (1):39–46.
    It is widely agreed that contraposition, strengthening the antecedent and hypothetical syllogism fail for subjunctive conditionals. The following putative counter-examples are frequently cited, respectively.
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  • Action and ability.Mark A. Brown - 1990 - Journal of Philosophical Logic 19 (1):95 - 114.
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  • The future, and what might have been.R. A. Briggs & Graeme A. Forbes - 2019 - Philosophical Studies 176 (2):505-532.
    We show that five important elements of the ‘nomological package’— laws, counterfactuals, chances, dispositions, and counterfactuals—needn’t be a problem for the Growing-Block view. We begin with the framework given in Briggs and Forbes (in The real truth about the unreal future. Oxford studies in metaphysics. Oxford University Press, Oxford, 2012 ), and, taking laws as primitive, we show that the Growing-Block view has the resources to provide an account of possibility, and a natural semantics for non-backtracking causal counterfactuals. We show (...)
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  • Preferential Accessibility and Preferred Worlds.Katarina Britz & Ivan Varzinczak - 2018 - Journal of Logic, Language and Information 27 (2):133-155.
    Modal accounts of normality in non-monotonic reasoning traditionally have an underlying semantics based on a notion of preference amongst worlds. In this paper, we motivate and investigate an alternative semantics, based on ordered accessibility relations in Kripke frames. The underlying intuition is that some world tuples may be seen as more normal, while others may be seen as more exceptional. We show that this delivers an elegant and intuitive semantic construction, which gives a new perspective on defeasible necessity. Technically, the (...)
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  • Interventionist counterfactuals.Rachael Briggs - 2012 - Philosophical Studies 160 (1):139-166.
    A number of recent authors (Galles and Pearl, Found Sci 3 (1):151–182, 1998; Hiddleston, Noûs 39 (4):232–257, 2005; Halpern, J Artif Intell Res 12:317–337, 2000) advocate a causal modeling semantics for counterfactuals. But the precise logical significance of the causal modeling semantics remains murky. Particularly important, yet particularly under-explored, is its relationship to the similarity-based semantics for counterfactuals developed by Lewis (Counterfactuals. Harvard University Press, 1973b). The causal modeling semantics is both an account of the truth conditions of counterfactuals, and (...)
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  • From KLM-style conditionals to defeasible modalities, and back.Katarina Britz & Ivan Varzinczak - 2018 - Journal of Applied Non-Classical Logics 28 (1):92-121.
    We investigate an aspect of defeasibility that has somewhat been overlooked by the non-monotonic reasoning community, namely that of defeasible modes of reasoning. These aim to formalise defeasibility of the traditional notion of necessity in modal logic, in particular of its different readings as action, knowledge and others in specific contexts, rather than defeasibility of conditional forms. Building on an extension of the preferential approach to modal logics, we introduce new modal osperators with which to formalise the notion of defeasible (...)
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  • Can contradictions be asserted?Manuel Bremer - 1999 - Logic and Logical Philosophy 7:167.
    In a universal logic containing naive semantics the semantic antinomies will be provable. Although being provable they are not assertiblebecause of some pragmatic constraints on assertion I will argue for. Furthermore, since it is not acceptable that the thesis of dialethism is a dialethiaitself, what it would be according to naive semantics and the prefered logical systems of dialethism, a corresponding restriction on proof theory isnecessary.
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  • Russellianism and psychological generalizations.David Braun - 2000 - Noûs 34 (2):203-236.
    (1) Harry believes that Twain is a writer. (2) Harry believes that Clemens is a writer. I say that this is Russellianism's most notorious consequence because it is so often used to argue against the view: many philosophers think that it is obvious that (1) and (2) can differ in truth value, and so they conclude that Russellianism is false. Let's call this the Substitution Objection to Russellianism.
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  • Proposition-valued random variables as information.Richard Bradley - 2010 - Synthese 175 (1):17 - 38.
    The notion of a proposition as a set of possible worlds or states occupies central stage in probability theory, semantics and epistemology, where it serves as the fundamental unit both of information and meaning. But this fact should not blind us to the existence of prospects with a different structure. In the paper I examine the use of random variables—in particular, proposition-valued random variables— in these fields and argue that we need a general account of rational attitude formation with respect (...)
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  • On some claims aboutif-then.Martin D. S. Braine - 1979 - Linguistics and Philosophy 3 (1):35 - 47.
    The paper has sought to show two things. One is that the apparent variety of Stalnaker and Lewis's counterexamples is misleading. Several of their examples are quite unsatisfactory because they depend on unguarded language behavior. There is in fact only one type of counterexample that is worth serious discussion, and that has the form of Barense's.For Barense's example, I try to show that it fails as a counterexample to transitivity because one of the premisses is false within the context of (...)
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  • Multidimensional Possible-World Semantics for Conditionals.Richard Bradley - 2012 - Philosophical Review 121 (4):539-571.
    Adams’s Thesis, the claim that the probabilities of indicative conditionals equal the conditional probabilities of their consequents given their antecedents, has proven impossible to accommodate within orthodox possible-world semantics. This essay proposes a modification to the orthodoxy that removes this impossibility. The starting point is a proposal by Jeffrey and Stalnaker that conditionals take semantic values in the unit interval, interpreting these (à la McGee) as their expected truth-values at a world. Their theories imply a false principle, namely, that the (...)
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  • Indicative conditionals.Richard Bradley - 2002 - Erkenntnis 56 (3):345-378.
    Adams Thesis has much evidence in its favour, but David Lewis famously showed that it cannot be true, in all but the most trivial of cases, if conditionals are proprositions and their probabilities are classical probabilities of truth. In this paper I show thatsimilar results can be constructed for a much wider class of conditionals. The fact that these results presuppose that the logic of conditionals is Boolean motivates a search for a non-Boolean alternative. It is argued that the exact (...)
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  • Conditionals and Supposition-Based Reasoning.Richard Bradley - 2011 - Topoi 30 (1):39-45.
    Case-based reasoning is a familiar method of evaluating sentences. But when applied to conditionals, it seems to lead to implausible conclusions. In this paper I argue that the problem arises from equating the probability of a conditional sentence on the evidential supposition of some condition with the conditional probability of the former, given the latter.
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  • A representation theorem for a decision theory with conditionals.Richard Bradley - 1998 - Synthese 116 (2):187-229.
    This paper investigates the role of conditionals in hypothetical reasoning and rational decision making. Its main result is a proof of a representation theorem for preferences defined on sets of sentences (and, in particular, conditional sentences), where an agent’s preference for one sentence over another is understood to be a preference for receiving the news conveyed by the former. The theorem shows that a rational preference ordering of conditional sentences determines probability and desirability representations of the agent’s degrees of belief (...)
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  • A preservation condition for conditionals.Richard Bradley - 2000 - Analysis 60 (3):219-222.
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  • Attitudes, deliberation and decisions.Richard Bradley - 2022 - Synthese 200 (1):1-18.
    In this paper I discuss the challenges of several authors to the claims I make in Decision Theory with a Human Face regarding the relation between preference and choice, the nature of conditional desire, the semantics of conditionals, attitudes to chances and their role in individuating prospects, belief change under growing awareness and choice under ambiguity.
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  • Does Success Entail Ability?David Boylan - 2021 - Noûs 56 (3):570-601.
    This paper is about the principle that success entails ability, which I call Success. I argue the status of Success is highly puzzling: when we focus on past instances of actually successful action, Success is very compelling; but it is in tension with the idea that true ability claims require an action be in the agent's control. I make the above tension precise by considering the logic of ability. I argue Success is appealing because it is classically equivalent to two (...)
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  • Unifying default reasoning and belief revision in a modal framework.Craig Boutilier - 1994 - Artificial Intelligence 68 (1):33-85.
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  • Iterated revision and minimal change of conditional beliefs.Craig Boutilier - 1996 - Journal of Philosophical Logic 25 (3):263 - 305.
    We describe a model of iterated belief revision that extends the AGM theory of revision to account for the effect of a revision on the conditional beliefs of an agent. In particular, this model ensures that an agent makes as few changes as possible to the conditional component of its belief set. Adopting the Ramsey test, minimal conditional revision provides acceptance conditions for arbitrary right-nested conditionals. We show that problem of determining acceptance of any such nested conditional can be reduced (...)
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  • Abduction as belief revision.Craig Boutilier & Veronica Beche - 1995 - Artificial Intelligence 77 (1):43-94.
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  • Actualised Infinity: Before-Effect and Nullify-Effect.Steffen Borge - 2003 - Disputatio 1 (14):1 - 17.
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  • Altruísmo Irracional.Rodrigo Borges & Felipe Castelo Branco Medeiros - 2016 - Veritas – Revista de Filosofia da Pucrs 61 (3):492-502.
    De acordo com Jennifer Lackey, deve-se asserir que p somente se é razoável acreditar que p e se alguém asseriu que p, afirmaria que p pelo menos em parte porque é razoável acreditar que p. Como dados para essa norma de asserção, Lackey apela à intuição de que, nos casos de afirmação altruísta, os agentes afirmam com propriedade epistêmica algo que não acreditam. Se essa norma de afirmação fosse verdadeira, então ela explicaria por que as afirmações altruístas são epistemicamente apropriadas. (...)
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  • On strengthening the logic of iterated belief revision: Proper ordinal interval operators.Richard Booth & Jake Chandler - 2020 - Artificial Intelligence 285 (C):103289.
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  • From iterated revision to iterated contraction: Extending the Harper Identity.Richard Booth & Jake Chandler - 2019 - Artificial Intelligence 277 (C):103171.
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  • The Material Conditional is Sufficient to Model Deliberation.Giacomo Bonanno - 2021 - Erkenntnis 88 (1):325-349.
    There is an ongoing debate in the philosophical literature whether the conditionals that are central to deliberation are subjunctive or indicative conditionals and, if the latter, what semantics of the indicative conditional is compatible with the role that conditionals play in deliberation. We propose a possible-world semantics where conditionals of the form “if I take action _a_ the outcome will be _x_” are interpreted as material conditionals. The proposed framework is illustrated with familiar examples and both qualitative and probabilistic beliefs (...)
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  • Pragmatics, Mental Models and One Paradox of the Material Conditional.Jean-françois Bonnefon & Guy Politzer - 2011 - Mind and Language 26 (2):141-155.
    Most instantiations of the inference ‘y; so if x, y’ seem intuitively odd, a phenomenon known as one of the paradoxes of the material conditional. A common explanation of the oddity, endorsed by Mental Model theory, is based on the intuition that the conclusion of the inference throws away semantic information. We build on this explanation to identify two joint conditions under which the inference becomes acceptable: (a) the truth of x has bearings on the relevance of asserting y; and (...)
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